Questions
MCD1550 / MCD2140 - T1 - 2025 TEST 2 (Week 6)
Single choice
Given the matrices $$ A= \left[\begin{array}{ccc} -1&0&3 \\ -2&4&6 \end{array}\right] $$ and $$ B= \left[\begin{array}{cccc} -1&3&5&0 \\ 1&4&2&1 \end{array}\right] $$ if \( AX = B \) the order of matrix \(X\) is
Options
A.a. 3x4
B.b. 4x3
C.c. 3x2
D.d. 2x3
View Explanation
Verified Answer
Please login to view
Step-by-Step Analysis
To determine the size of X we use the rule for matrix multiplication: if A is of size m×n and X is of size p×q, then AX is defined only when n = p, and the result has size m×q.
Option a: 3x4. Here X would be 3×4. Since A is......Login to view full explanationLog in for full answers
We've collected over 50,000 authentic exam questions and detailed explanations from around the globe. Log in now and get instant access to the answers!
Similar Questions
Given the matrices $$ A= \left[\begin{array}{ccc} -1&0&3 \\ -2&4&6 \end{array}\right] $$ and $$ B= \left[\begin{array}{cccc} -1&3&5&0 \\ 1&4&2&1 \end{array}\right] $$ if \( AX = B \) the order of matrix \(X\) is
[math: U=[010]V=[110319238]W=[420012]X=[31−1101]Y=[01−12]Z=[101]]U = \left[ {\begin{array}{*{20}{c}}0&1&0\end{array}} \right]\;\quad V = \left[ {\begin{array}{*{20}{c}}1&1&0\\3&1&9\\2&3&8\end{array}} \right]\;\quad W = \left[ {\begin{array}{*{20}{c}}4&2\\0&0\\1&2\end{array}} \right]\;\;X = \left[ {\begin{array}{*{20}{c}}3&1&{-1}\\1&0&1\end{array}} \right]\quad \\ Y = \left[ {\begin{array}{*{20}{c}}0&1\\{-1}&2\end{array}} \right]\quad \quad Z = \left[ {\begin{array}{*{20}{c}}1\\0\\1\end{array}} \right]\quad \quad \;\quad order of matrix W is:
Given the matrices [math: A=[25−34−10]] A= \left[\begin{array}{cc} 2&5 \\ -3&4 \\ -1&0 \end{array}\right] and [math: B=[4−20−113]] B= \left[\begin{array}{cc} 4&-2 \\ 0&-1 \\ 1&3 \end{array}\right] , if [math: AX=B] the order of matrix X is
\[U = \left[ {\begin{array}{*{20}{c}}0&1&0\end{array}} \right]\;\quad V = \left[ {\begin{array}{*{20}{c}}1&1&0\\3&1&9\\2&3&8\end{array}} \right]\;\quad W = \left[ {\begin{array}{*{20}{c}}4&2\\0&0\\1&2\end{array}} \right]\;\;X = \left[ {\begin{array}{*{20}{c}}3&1&{-1}\\1&0&1\end{array}} \right]\quad \\ Y = \left[ {\begin{array}{*{20}{c}}0&1\\{-1}&2\end{array}} \right]\quad \quad Z = \left[ {\begin{array}{*{20}{c}}1\\0\\1\end{array}} \right]\quad \quad \;\quad \] order of matrix W is:
More Practical Tools for Students Powered by AI Study Helper
Making Your Study Simpler
Join us and instantly unlock extensive past papers & exclusive solutions to get a head start on your studies!